Problem 668: Right triangle, Incircles, Parallel, Common Tangent, Mind Map

Online Geometry Problems

 

The figure shows a right triangle ABC with the incircle O tangent to AC at H. From O parallels DE and FG are drawn to AB, and BC, respectively. Prove that OH is the common tangent to the incircles of triangles AFG and DEC.

  

Right triangle, parallel, incircles, common tangent
  

 

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